عنوان

Optimal control problems arising in forest management /

(Number (ISBN

3030235866

(Number (ISBN

3030235874

(Number (ISBN

3030235882

(Number (ISBN

9783030235864

(Number (ISBN

9783030235871

(Number (ISBN

9783030235888

Erroneous ISBN

9783030235864

Title Proper

Optimal control problems arising in forest management /

General Material Designation

[Book]

First Statement of Responsibility

Alexander J. Zaslavski.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource (viii, 136 pages)

Series Title

SpringerBriefs in Optimization

Text of Note

Includes bibliographical references and index.

Text of Note

Intro; Preface; Contents; 1 Introduction; 1.1 Convex Discrete-Time Problems; 1.2 The Turnpike Phenomenon; 2 Infinite Horizon Optimal Control Problems; 2.1 The Forest Management Problem; 2.2 Infinite Horizon Problems Without Discounting; 2.3 Auxiliary Results; 2.4 Proofs of Theorems 2.6 and 2.7; 2.5 Proof of Theorem 2.9; 2.6 Proof of Theorem 2.10; 2.7 Infinite Horizon Problems with Discounting; 2.8 An Auxiliary Result for Theorem 2.13; 2.9 Proof of Theorem 2.13; 2.10 An Application to the Forest Management Problem; 3 Turnpike Properties; 3.1 Preliminaries and Main Results; 3.2 Auxiliary Results; 3.3 Proof of Theorem 3.2; 3.4 Proof of Theorem 3.3; 3.5 Proof of Theorem 3.4; 3.6 Proof of Theorem 3.5; 3.7 Proof of Theorem 3.6; 3.8 Stability Results;

Text of Note

3.9 Agreeable Programs; 4 Generic Turnpike Properties; 4.1 Preliminaries; 4.2 Equivalence of the Turnpike Properties; 4.3 Generic Results; 5 Structure of Solutions in the Regions Close to the Endpoints; 5.1 Preliminaries; 5.2 Lagrange Problems; 5.3 An Auxiliary Result for Theorem 5.13; 5.4 Proof of Theorem 5.13; 5.5 The First Class of Bolza Problems; 5.6 An Auxiliary Result for Theorem 5.15; 5.7 Proof of Theorem 5.15; 5.8 The Second Class of Bolza Problems; 5.9 Auxiliary Results for Theorem 5.17; 5.10 Proof of Theorem 5.17; 6 Applications to the Forest Management Problem; 6.1 Preliminaries; 6.2 Auxiliary Results; 6.3 Turnpike Results; 6.4 Generic Results; References; Index.

0

8

Text of Note

This book is devoted to the study of optimal control problems arising in forest management, an important and fascinating topic in mathematical economics studied by many researchers over the years. The volume studies the forest management problem by analyzing a class of optimal control problems that contains it and showing the existence of optimal solutions over infinite horizon. It also studies the structure of approximate solutions on finite intervals and their turnpike properties, as well as the stability of the turnpike phenomenon and the structure of approximate solutions on finite intervals in the regions close to the end points. The book is intended for mathematicians interested in the optimization theory, optimal control and their applications to the economic theory.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030235871

Title

Optimal control problems arising in forest management.

International Standard Book Number

9783030235864

Forest management-- Statistical methods.

Forest management-- Statistical methods.

MAT005000

PBKQ

PBKQ

PBU

Number

Edition

Class number

Class number

Zaslavski, Alexander J.

Date of Transaction

20200823092914.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y